2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67859I give an answer to the question ``Which groups have compact coadjoint orbits?''. Whilst I thought that the answer, which is straightforward, must be in the literature, I was unable to find it. This note aims to rectify this. It is also a plea: If the result is already published then I would like to be told the reference.5 pagesRepresentation TheorySymplectic Geometry17B05text